US8400496B2 - Optimal depth mapping - Google Patents
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N13/00—Stereoscopic video systems; Multi-view video systems; Details thereof
- H04N13/10—Processing, recording or transmission of stereoscopic or multi-view image signals
- H04N13/106—Processing image signals
- H04N13/122—Improving the 3D impression of stereoscopic images by modifying image signal contents, e.g. by filtering or adding monoscopic depth cues
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T15/00—3D [Three Dimensional] image rendering
- G06T15/10—Geometric effects
- G06T15/20—Perspective computation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/50—Depth or shape recovery
- G06T7/55—Depth or shape recovery from multiple images
- G06T7/579—Depth or shape recovery from multiple images from motion
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/50—Depth or shape recovery
- G06T7/55—Depth or shape recovery from multiple images
- G06T7/593—Depth or shape recovery from multiple images from stereo images
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09G—ARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
- G09G3/00—Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes
- G09G3/001—Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes using specific devices not provided for in groups G09G3/02 - G09G3/36, e.g. using an intermediate record carrier such as a film slide; Projection systems; Display of non-alphanumerical information, solely or in combination with alphanumerical information, e.g. digital display on projected diapositive as background
- G09G3/003—Control arrangements or circuits, of interest only in connection with visual indicators other than cathode-ray tubes using specific devices not provided for in groups G09G3/02 - G09G3/36, e.g. using an intermediate record carrier such as a film slide; Projection systems; Display of non-alphanumerical information, solely or in combination with alphanumerical information, e.g. digital display on projected diapositive as background to produce spatial visual effects
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09G—ARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
- G09G5/00—Control arrangements or circuits for visual indicators common to cathode-ray tube indicators and other visual indicators
- G09G5/36—Control arrangements or circuits for visual indicators common to cathode-ray tube indicators and other visual indicators characterised by the display of a graphic pattern, e.g. using an all-points-addressable [APA] memory
- G09G5/39—Control of the bit-mapped memory
- G09G5/393—Arrangements for updating the contents of the bit-mapped memory
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09G—ARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
- G09G5/00—Control arrangements or circuits for visual indicators common to cathode-ray tube indicators and other visual indicators
- G09G5/36—Control arrangements or circuits for visual indicators common to cathode-ray tube indicators and other visual indicators characterised by the display of a graphic pattern, e.g. using an all-points-addressable [APA] memory
- G09G5/39—Control of the bit-mapped memory
- G09G5/395—Arrangements specially adapted for transferring the contents of the bit-mapped memory to the screen
- G09G5/397—Arrangements specially adapted for transferring the contents of two or more bit-mapped memories to the screen simultaneously, e.g. for mixing or overlay
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- H—ELECTRICITY
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- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
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- H04N13/20—Image signal generators
- H04N13/275—Image signal generators from 3D object models, e.g. computer-generated stereoscopic image signals
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- H—ELECTRICITY
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- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
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- H04N13/20—Image signal generators
- H04N13/204—Image signal generators using stereoscopic image cameras
- H04N13/239—Image signal generators using stereoscopic image cameras using two 2D image sensors having a relative position equal to or related to the interocular distance
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- H04N2013/0081—Depth or disparity estimation from stereoscopic image signals
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- H04N2013/0074—Stereoscopic image analysis
- H04N2013/0085—Motion estimation from stereoscopic image signals
Definitions
- This disclosure relates generally to stereoscopic three-dimensional (3D) imagery and, more specifically, to depth mapping for stereoscopic images.
- Capture of stereoscopic content is achieved with two cameras whose fixed spacing is chosen to match a depth budget associated with a playback display device. This generally results in perceived depth being both compressed and distorted producing ‘cardboard cut-outs’ and flat ‘wall-paper’ backgrounds.
- Methods and apparatuses disclosed in the present application include substantially correcting the distorted depth mapping of stereoscopic capture and display systems.
- a method for generating an optimal stereoscopic image.
- the method includes an optimizing sequence comprising determining an original position of a point in a scene having an original depth, modifying the original position of the point in the scene to a new position having a new depth.
- the modifying the original position of the point in the scene to a new position includes using a depth scaling function, Z′(Z), wherein Z represents the original position of the point in the scene.
- the modifying the original position of the point in the scene to a new position further comprises moving the original position of the point in the scene along a line extending through the original position of the point in the scene and a midpoint between two capture camera positions.
- the optimizing sequence is repeated for every point in the scene.
- Another method for generating an optimal stereoscopic image includes determining a preserved perspective of a scene and scaling the preserved perspective of the scene.
- An exemplary method may include real time rendering of CG images.
- FIGS. 1A and 1B are schematic diagrams illustrating a top view of a scene and a top view of objects as visualized on a display illustrating non-linear depth mapping, in accordance with the present disclosure
- FIG. 2 is a schematic diagram illustrating the effect of non-linear depth mapping on a 3D image, in accordance with the present disclosure
- FIG. 3 is a schematic diagram illustrating stereo capture geometry, in accordance with the present disclosure.
- FIG. 4 is a schematic diagram illustrating camera parameters, in accordance with the present disclosure.
- FIG. 5 is a schematic diagram illustrating the viewing geometry of disparity on the screen to perceived depth, in accordance with the present disclosure
- FIG. 6 is a schematic diagram illustrating the disparity limits for a display screen, in accordance with the present disclosure
- FIG. 7 is a graph illustrating typical non-linear mapping between perceived depth and actual depth in a stereoscopic replay display system, in accordance with the present disclosure
- FIG. 8 is a graph illustrating a mapping of direct proportionality and a depth-mapping curve, in accordance with the present disclosure
- FIG. 9 is a graph illustrating a scaled scene mapping for optimal depth reconstruction, in accordance with the present disclosure.
- FIG. 10 is a graph illustrating optimal depth mapping relative to conventional depth mapping and linear mapping, in accordance with the present disclosure.
- FIG. 11 is a graph illustrating optimal mapping solutions for various capture/replay parameters, in accordance with the present disclosure.
- FIG. 12 is a schematic diagram illustrating an exemplary capture scene, in accordance with the present disclosure.
- FIG. 13 is a schematic diagram illustrating an uncorrected anaglyph stereoscopic image, in accordance with the present disclosure
- FIG. 14 is a schematic diagram illustrating an optimally corrected anaglyph image, in accordance with the present disclosure.
- FIG. 15 is a graph illustrating a typical non-linear mapping between perceived depth and actual depth in a stereoscopic replay display system, in accordance with the present disclosure
- FIG. 16 is a schematic diagram illustrating a scene with depth, in accordance with the present disclosure.
- FIG. 17 is a graph illustrating the non-linear mapping relationship and a desired relationship between actual depth and perceived depth, in accordance with the present disclosure
- FIGS. 18A and 18B are schematic diagrams illustrating a process and a module for implementing optimal depth correction, in accordance with the present disclosure
- FIG. 19 is a flow diagram for real-time optimal depth correction, in accordance with the present disclosure.
- FIG. 20 is a graph illustrating disparity correction for optimal depth mapping, in accordance with the present disclosure.
- FIG. 21A is a flow diagram of an exemplary technique 2100 for image creation and FIG. 21B is a schematic diagram illustrating an exemplary module 2150 for image creation;
- FIG. 22 is a schematic perspective diagram illustrating depth budget reallocation scaling, in accordance with the present disclosure.
- the depth on a playback stereo display is non-linear. Uniformly-spaced objects (such as telegraph poles disappearing into the distance) appear to get closer together the further away they are.
- the term “camera” refers to either a physical camera or a capture viewpoint in Computer Generated Imagery (CGI) virtual space.
- CGI Computer Generated Imagery
- FIGS. 1A and 1B are schematic diagrams illustrating this depth distortion phenomenon.
- FIG. 1A illustrates the top view of a scene 100 with stereoscopic cameras 101 and substantially equally-spaced objects 103 .
- FIG. 1B illustrates the top of the same scene 150 as visualized on a display. Viewer 151 faces a display with a display plane 155 , and perceives the objects 153 at a non-uniform depth.
- FIG. 2 is a schematic diagram illustrating a 3-D scene 200 and the effect of non-linear depth mapping.
- the ball 202 is in the foreground of the scene 200 and appears too close (and thus, appears distorted).
- the depth between the players 208 and 210 who appear in the middle ground 206 of the scene 200 , is relatively good.
- the crowd 204 in the background appears flat and appears similar to a painted backdrop or wallpaper.
- FIG. 3 shows a top-down view of a symmetrical capture set-up 300 with parallel cameras 302 , i.e. cameras with parallel optical axes symmetrical around a line 310 running through the object 308 and perpendicular to the object plane 304 .
- Line 306 runs along the optical axis of camera 302 and through a central sensor (or the central portion of the sensor) of camera 302 (and is perpendicular to the object plane 304 ).
- a symmetrical capture set-up 300 is used to avoid vertical disparity from keystone distortion that is present with non-parallel optical axes.
- the distance Z from the cameras 302 to the plane of the object 304 is related to d/2 and A/2 by:
- d f A Z ( Equation ⁇ ⁇ 1 ) where f is the focal length of camera 302 , d/2 the distance from line 306 (or the distance from the central sensor), and A/2 the distance from line 310 to line 306 .
- FIG. 4 is a schematic diagram of a top-down view 400 of a camera 402 .
- FIG. 5 is a schematic diagram of a top-down view of replay geometry 500 .
- a viewer 502 with eye separation E looks at a screen 504 onto which the stereoscopic imagery captured in FIG. 3 is replayed.
- the distance of the screen s, the eye separation E, and the screen disparity Ds, determine the perceived depth ⁇ , through the relation:
- the disparity Ds of any one point on the screen from an object originally captured at a distance Z is related to the scaled camera sensor disparity d and a fixed disparity (or offset) D as follows:
- D is the fixed disparity or offset between a left and right image pairs in units of the screen. An image pair may be shifted by a fixed disparity D after capture. Alternatively, the camera sensors may be moved relative to the lenses. D is introduced to set the zero parallax or screen depth position by shifting and cropping of the captured images.
- Suitable values for A and D are those that fit the mapped depth within the limits or disparity budget of the display. All displays have a disparity budget where image separation does not exceed a maximum Ds max or a minimum amount Ds min .
- FIG. 6 is a schematic diagram illustrating a disparity budget for a 3D image scene 600 displayed on a display screen 610 .
- the left eye 608 and right eye 606 views for the nearest object 602 and the farthest object 604 are shown in the scene 600 .
- the nearest object 602 defines the minimal image separation Ds min between the left eye 608 and the right eye 606 for the scene 600 .
- the farthest object 604 defines the maximum image separation Ds max between the left eye 608 and the right eye 606 for the scene 600 .
- the disparity budget depends on screen size, position of objects on the screen (e.g., central positioning is more forgiving than side positioning), and the personal characteristics of the viewer (some people can endure more than others). However, applying maximum and minimum conservative limits to any given display should ensure a good stereoscopic viewing experience.
- a fixed camera separation A and fixed disparity D can be determined mathematically.
- Equations 1-4 the following expressions are derived for the minimum (Ds min ) and maximum (Ds max ) on-screen disparities, which correspond to the greatest separation of near and far objects respectively:
- Ds min D - W ⁇ A 2 ⁇ Z min ⁇ tan ⁇ ⁇ ⁇ ⁇ ⁇ and ( Equation ⁇ ⁇ 6 )
- Ds max D - W ⁇ A 2 ⁇ Z max ⁇ tan ⁇ ⁇ ⁇ . ( Equation ⁇ ⁇ 7 )
- Equation ⁇ ⁇ 8 2 ⁇ tan ⁇ ⁇ ⁇ ⁇ Z max ⁇ Z min ⁇ ( Ds max - Ds min ) W ⁇ ( Z max - Z min ) ( Equation ⁇ ⁇ 8 ) which when substituted into Equation 5, yields the following expression for the fixed disparity setting:
- This disclosure provides further information relating to the Stereoscopic depth mapping application and provides solutions to the non-linear depth representation in stereoscopic displays.
- This disclosure provides an optimal solution in the form of a scaling expression which may, for example, be used with real-time game rendering techniques.
- the Stereoscopic depth mapping application describes the non-linear relation between the perceived depth ⁇ and the actual depth Z of objects captured with a stereo camera pair (camera separation Ac, half angle capture ⁇ ) when viewed at a distance s from a W wide stereoscopic display system.
- the expression is:
- E the inter-ocular separation (e.g., 65 mm)
- D the fixed disparity of the captured images provided either by offsetting the camera lenses during capture, or image shifting and cropping after the fact.
- E the inter-ocular separation (e.g., 65 mm)
- D the fixed disparity of the captured images provided either by offsetting the camera lenses during capture, or image shifting and cropping after the fact.
- the magnitudes of the camera separation Ac and the fixed disparity D are given by:
- the optimum mapping substantially ensures a constant factor between the desired depth mapping, or gradient at any position ( ⁇ /Z), and the actual mapping
- the perceived depth at any part in the scene is a constant factor of the desired, scaled depth.
- it recognizes the equivalence of camera separation to scene scaling, providing a mapping within the latter framework, thus making it more compatible with CG image rendering.
- it provides a depth-dependent scaling formula.
- FIG. 7 is a graph 700 illustrating the typically non-linear depth mapping relationship 702 between ⁇ and Z described by Equation 10.
- the capture and replay parameters used in exemplary case (and in later examples) are given in the following table (Table 1):
- the capture camera separation A and the fixed disparity D are calculated to be ⁇ 78 mm and ⁇ 23 mm respectively.
- FIG. 8 is a graph 800 illustrating the differences between these preferred gradients 812 , 814 , and 816 , or localized depth mapping, and that which is achieved by simple stereoscopic capture and display 818 . Angles between the intersecting lines 812 , 814 , 816 represent an error, which is difficult to reduce to zero. Thus, as discussed in the Stereoscopic depth mapping application, direct proportionality may be achieved only in certain circumstances.
- an optimum condition that can be achieved with typical capture and playback parameters is provided.
- This optimum condition may be defined as being when the local depth representation (or mapping gradient) is in direct proportion to the desired gradient irrespective of scene position. Visually, this means the perceived scene is scaled uniformly in depth throughout. Mathematically, this may be described as:
- DDS depth-dependent scaling
- DDS is an approach that maps each point in the 3D scene located at (X, Y, Z), with a reference point being the center of the two stereoscopic camera lenses, onto a new point (X′, Y′, Z′), where:
- a scaling function Z′(Z) may be used that solves Equation 15 under fixed scene limit conditions. This may be described mathematically as:
- Equation 10 may then be re-written as:
- Equation 18 Equation 18 may be rewritten as:
- FIG. 9 is a graph 900 representing the scene mapping relationship Z′(Z) 902 derived for the parameters of Table 1.
- FIG. 10 is a graph 1000 illustrating an optimal depth mapping solution 1002 when scene mapping relationship 902 (from FIG. 9 ) is combined with Equation 20.
- Optimal depth mapping 1002 (or ⁇ ((Z′ (Z))) is shown relative to uncorrected or conventional depth mapping 1004 (or ⁇ (Z)) and linear or “scaled mapping” 1006 (or lin(Z)).
- the optimal depth mapping solution 1002 shows a close relationship to the scaled mapping solution 1006 of the Stereoscopic depth mapping application as expected since practical implementation suggests that scaled mapping 1006 is closely correlated with an optimal depth mapping solution 1002 .
- FIGS. 11A to 11D are graphs 1110 , 1120 , 1130 , 1140 illustrating triplet curve sets similar to the graph of FIG. 10 .
- the curve sets of FIGS. 11A-11D illustrate mapping solutions for various Capture/Replay scenarios which show the general trend whereby optimal solutions 1112 , 1122 , 1132 , 1142 lie between uncorrected solutions 1114 , 1124 , 1134 , 1144 and scaled mapping solutions 1116 , 1126 , 1136 , 1146 .
- FIG. 12 is a schematic diagram illustrating an exemplary stereoscopic capture scene 1200 including a top scene view 1220 and a camera view 1210 .
- a series of balls 1202 in five uniformly spaced depth planes 1204 are captured by stereo cameras 1206 .
- the ball size relates to the distance from the camera 1206 .
- FIG. 13 is a schematic diagram illustrating an uncorrected stereoscopic image 1300 .
- stereoscopic image 1300 is rendered in anaglyph so that depth can be sensed using classic red cyan glasses.
- FIG. 14 is a schematic diagram illustrating an optimal depth mapping stereoscopic image 1400 .
- stereoscopic image 1400 is rendered in anaglyph so that depth can be sensed using classic red cyan glasses.
- the images 1300 and 1400 illustrate how the optimal depth mapping substantially avoids the flattening of the back images relative to those closer to the viewer without causing any substantial distortions.
- FIG. 15 is another graph 1500 also illustrating the non-linear mapping relationship 1502 between actual depth Z and perceived depth a for stereoscopic images.
- the restraining of scene depths to within limits based on display sizes (for D ⁇ E) results in a non-linear relation between perceived and actual depth described by Equation 27.
- Such perceived depth limits are shown by boundary lines for maximum perceived depth ⁇ _max 1504 and minimum perceived depth ⁇ _min 1506 .
- Actual depth boundary limits are shown by maximum depth Z_max 1508 line and minimum depth Z_min 1510 line.
- the local perceived depth is directly related to the gradient of this curve since a small object at depth Z of actual thickness t has a perceived thickness ⁇ of:
- DBR Depth budget reallocation
- FIG. 16 is a schematic perspective drawing 1600 illustrating perceived depth of two objects and the display heights of those two objects respective to one another.
- a desired perceived depth mapping is one that accurately preserves perspective, defining a substantially fixed relation between perceived depth and displayed object heights.
- An example image is shown in drawing 1600 of two similar cars 1602 and 1604 captured at different perceived depths ( ⁇ 1 and ⁇ 2 ) from a viewing position. For these images to appear ‘correct’ (i.e. as if you were actually viewing two cars 1602 , 1604 ), the relative heights (h 1 and h 2 ) and perceived depths ( ⁇ 1 and ⁇ 2 ) should be directly proportional according to the following equation:
- FIG. 17 is a graph 1700 illustrating a line 1702 showing the non-linear mapping relationship between actual depth Z and perceived depth ⁇ for stereoscopic images and a line 1704 showing a desired relationship between perceived and actual depth.
- This desired direct proportional relationship is represented by a straight line 1704 passing through the origin on the perceived vs. actual depth graph 1700 .
- smaller displays such as LCD monitors have smaller disparity limits than large screens or movie screens, therefore it is difficult to provide such a desired mapping between perceived depth and actual depth for some perspective views on such smaller displays. While it is possible to attempt preservation of this directly proportional relationship, display of such on smaller displays may lead to viewer fatigue and headaches.
- the present disclosure provides for an altering of the relation between the perceived and actual depth through a depth scaling function Z′(Z).
- a depth scaling function Z′(Z) is discussed below.
- the depth scaling function Z′(Z) can be understood as a modified depth for each point or vertex, initially positioned at Z, making up all the objects in a scene. To retain an object's captured size, each point may be reassigned a depth value Z′ and may also be scaled by the ratio of new to old depth toward the camera.
- the depth values for points at (x, y, z) co-ordinates in a three-dimensional space may be transformed to reassigned depth values at points (x′, y′, z′) in accordance with the following equation:
- FIGS. 18A and 18B are schematic diagrams illustrating an embodiment of a process 1800 and a module 1850 for implementing an optimal depth mapping algorithm.
- the process 1800 the original position of a point
- [ x y z ] (discussed above as an initial position Z) is determined in step 1802 .
- the original position of the point is modified by some scaling solution Z′(Z) in step 1804 .
- the original position may be normalized or scaled by 1/Z in step 1808 and a new position
- the process 1800 is implemented in a scaling module 1850 operable to receive and analyze scene and display information 1852 and provide modified scene information 1856 .
- the module 1850 may be any suitable logical device known in the art, and may be embodied in hardware, software, or a combination.
- the module 1850 may also be stored on a computer readable medium, as instructions for a machine. Determining the scaling solution Z′(Z) to render the new position
- Equation 30 The local perceived thickness ⁇ of a small object of thickness h is given by Equation 30:
- a local perceived depth ⁇ may be defined as being the ratio of the real to perceived thickness, according to Equation 31 below:
- a captured scene, modified through a scaling operation, has a modified local depth, ⁇ ′, where:
- a desired local depth may be used as a fixed proportion of the perspective preserving (“scaled mapping” as discussed in the Stereoscopic depth mapping application), direct proportional gradient ⁇ according to Equation 33:
- Equation 35 can be expressed as:
- Equation 37 may be derived:
- ⁇ ⁇ ( Z ′ ) ⁇ 1 + ⁇ Z ′ ⁇ ⁇
- Equation 39 can be solved to yield an embodiment of a solution for a scaling solution:
- vertices of polygons that make up the 3D world model are first transformed using matrices that scale, translate, rotate etc. before being projected onto the 2D view plane and shaded in accordance with their depth (i.e. their Zbuffer values).
- a transformation of model polygons in accordance with the non-linear scaling transformation (Equation 16) during real-time rendering of a stereoscopic game, thus optimizing the 3D experience is proposed.
- One technique for obtaining these parameters is to use the depth information from a previous rendered Zbuffer; whereas another is to calculate them directly from the polygon vertices data before transformation.
- Object depth information might also be used to alter the disparity limits dependent on its position within the view. Near objects close to or even intersecting the vertical edges of the display might be used to reduce the disparity limits, hence, avoiding undesirable depth cue conflicts. Large changes in parameters should be avoided in the game authoring, but if sudden modest jumps occur in the capture parameters then alteration of the mapping transformation should be damped avoiding large jumps in depth.
- FIG. 19 is a flow diagram 1900 showing an exemplary process for real-time optimal depth correction.
- a frame's position and direction are determined (this includes determining the coordinates of a particular vertex of a polygon of the frame).
- Z_max and Z_min for that position and direction are determined. From that, A and D can be calculated using equations 11 and 12 in step 1904 .
- the scaling function or scaling solution Z′(Z) can then be determined using equations 25 and 26 in step 1906 .
- the vertices of polygons are transformed in step 1908 using the original information from step 1901 and the scaling function Z′(Z) determined in 1906 .
- the left and right images are rendered in steps 1910 and 1912 and then buffered in steps 1914 and 1916 before being displayed in step 1920 .
- the process may start over again in step 1901 , where the next frame's position and direction (and the coordinates of a polygon) are determined.
- the depth information from a previous rendered Zbuffer may be used for determining the position and direction in step 1901 .
- depth information may be calculated directly from the polygon vertices data before transformation in determining the position and direction in step 1901 .
- Another embodiment may use the optimal mapping scaling method on non-real time applications and one that would employ alternative rendering algorithms such as ray tracing.
- alternative rendering algorithms such as ray tracing.
- the 3D model would undergo non-linear scaling in accordance with the formulation, and stereoscopic images would be rendered accordingly.
- This expression allows the disparity Ds of any pixel within conventionally captured stereoscopic images to be given a new value Ds′. In practice, this means shifting pixel values and smearing or in-painting where gaps are left.
- FIG. 20 is a graph 2000 illustrating pixel shift as a function of measured disparity Ds ⁇ Ds′(Ds) 2002 for the capture/replay parameters of Table 1.
- Implementation of this embodiment may use disparity estimation using established or other techniques, shifting pixels according to Equation 44, and then filling in voids using either established or future in-painting techniques.
- the implementation of this reallocation approach is well-suited to a CG environment where 3D models exist together in a 3D world and from which a camera is able to create 2D images of a given scene.
- Image creation is termed rendering and, in its raw form, is a mathematical manipulation of the graphical information.
- 3D models generally have points or vertices between which textures are painted.
- Each vertex has a coordinate (X, Y, Z) within a Cartesian world system described by basis vectors i, j, and k.
- Each vertex also typically has a color or a texture associated with it to allow the polygons (defined by the lines joining the vertices) to be correctly shaded.
- a camera is situated within the world at a position (C x , C y , C z ) with frustum orientation vectors I, J, K, where I and J are oriented along the horizontal and vertical aspects of the final image, and K is the direction at which the camera is pointed.
- the aspect of the camera is a, where a ⁇ 0.56 for standard HD format, and finally it has a zoom setting ⁇ defined here as the ratio c/2f.
- FIG. 21A is a flow diagram of an exemplary technique 2100 for image creation and FIG. 21B is a schematic diagram illustrating an exemplary module 2150 for image creation.
- Exemplary image creation technique 2100 may be performed in a three step process. For instance, in step 2102 , the polygon vertices may be transformed into the camera's coordinate system—the so-called view transformation. In step 2104 , the same vertices may be projected onto an image plane with normalized depth values. View transformation 2102 and projection transformation 2104 are discussed in greater detail below. The pixel values may be calculated using the process of rasterization in step 2106 . Depth reallocation may be incorporated during either one of the first two of these three steps.
- the image creation technique 2100 is implemented in an image creating module 2150 operable to receive and analyze image data including input vertices 2152 and provide modified image data including output vertices 2156 .
- the module 2150 may be any suitable logical device known in the art, and may be embodied in hardware, software, or a combination.
- the module 2150 may also be stored on a computer readable medium, as instructions for a machine.
- a general vertex position may be given by:
- the unit value of the fourth component can be regarded as a dummy parameter whose value may be chosen to be one.
- Vh is the height of the viewport positioned at Zn
- Vw is the width of the viewport positioned at Zn.
- Z ⁇ ⁇ buffer ( vz - Zn ) ⁇ Zf ( Zf - Zn ) ⁇ vz . ( Equation ⁇ ⁇ 51 ) Depth Budget Reallocation Using World Scaling
- depth budget reallocation is implemented prior to the first view transformation and is carried out one time before a left and a right eye capture.
- the method scales the vertex positions (x,y,z) toward the midpoint (mx, my, mz) between lenses of the camera rig and is referred to herein as world scaling.
- FIG. 22 is a schematic perspective diagram 2200 illustrating world scaling.
- a frustum far plane 2214 , a frustum close plane 2210 , and a screen or image plane 2212 are shown in the diagram 2200 .
- the original object 2202 is replaced by a scaled replacement object 2204 .
- the original object 2202 is at an original depth Z and has a screen disparity of Ds.
- the original object 2202 may be scaled toward the camera midpoint 2206 along a line 2220 .
- the camera midpoint 2206 is the mid-point between the camera positions 2208 and the line 2220 extends from the original object 2202 through the camera midpoint 2206 .
- the scaled replacement object 2204 is at a new depth Z′ and has a screen disparity of Ds′.
- the resulting vectors are scaled to make their fourth component equal to one.
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Priority Applications (8)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US12/573,852 US8400496B2 (en) | 2008-10-03 | 2009-10-05 | Optimal depth mapping |
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EP2675175A2 (de) | 2013-12-18 |
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